On the motion of a mechanical system inside a rolling ball |
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Authors: | S. V. Bolotin T. V. Popova |
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Affiliation: | 16221. University of Wisconsin-Madison, 480 Lincoln Dr., Madison, WI, 53706-1325, USA 36221. V. A. Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina 8, Moscow, 119991, Russia 26221. M. V. Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991, Russia
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Abstract: | We consider a mechanical system inside a rolling ball and show that if the constraints have spherical symmetry, the equations of motion have Lagrangian form. Without symmetry, this is not true. |
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